Generating product systems

Nir Avni; Benjamin Weiss

doi:10.3934/jmd.2010.4.257

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2010, Volume 4, Issue 2: 257-270. Doi: 10.3934/jmd.2010.4.257

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Generating product systems

Nir Avni^1, and
Benjamin Weiss^2,

1.
Department of Mathematics, Harvard University, Cambridge MA 02138
2.
Einstein Institute of Mathematics, Edmond J. Safra Campus, Givat Ram, The Hebrew University of Jerusalem, Jerusalem, 91904

Received: June 30, 2009

Revised: February 28, 2010

Published: July 2010

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Abstract

Generalizing Krieger's finite generation theorem, we give conditions for an ergodic system to be generated by a pair of partitions, each required to be measurable with respect to a given subalgebra, and also required to have a fixed size.

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Mathematics Subject Classification: Primary: 28D20, 68P30; Secondary: 60G10, 37A35.

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